The number 3211
3211 is a composite number with 6 divisors. Its prime factorisation is Ć 19. Divisors (6): 1, 13, 19, 169, 247, 3211.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3211 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3211 is composite. Its prime factorisation is
- 3
The divisors add up to 3660; without 3211 itself that is 449, so 3211 is deficient (449 is less than 3211). Euler's totient Ļ(3211) = 2808 numbers up to 3211 share no factor with it.
- 4
The digits of 3211 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3211 = 13^{2} \times 19 \]3211 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3660 |
| Euler totient Ļ(n) | 2808 |
| Square | 10310521 |
| Cube | 33107082931 |
| Square root | 56.665686 (= 13ā19) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.211 Ć |
3211 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and eleven |
| Roman numerals | MMMCCXI |
| Binary (base 2) | 110010001011 |
| Octal (base 8) | 6213 |
| Hexadecimal (base 16) | C8B |
| Base 3 | 11101221 |
| As time | 3211 seconds = 53 min 31 s |
Is 3211 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3211 a prime number?
No. 3211 = Ć 19, so it is divisible by 13.
What are the factors of 3211?
1, 13, 19, 169, 247, 3211.
What is 3211 in binary?
110010001011 (hexadecimal C8B, octal 6213).
What is the square root of 3211?
About 56.6657, exactly 13ā19.
What is 3211 in Roman numerals?
MMMCCXI.
Is 3211 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 3211?
It is a composite number with 6 divisors.